bidZddlmZddlmZddlmZddlmZddl m Z ddl m Z ddl mZdd lmZdd lmZdd lmZGd d eZy)aY Copyright 2013 Steven Diamond, 2017 Akshay Agrawal, 2017 Robin Verschueren Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by applicable law or agreed to in writing, software distributed under the License is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the License for the specific language governing permissions and limitations under the License. )Tuple)problems) quad_over_lin)cvxtypes) Expression)Minimize)Canonicalization) CANON_METHODS) InverseData)QUAD_CANON_METHODScneZdZdZd deddffd ZdZdZdedee e ffd Z dedee e ffd Z xZ S) Dcp2ConezReduce DCP problems to a conic form. This reduction takes as input (minimization) DCP problems and converts them into problems with affine or quadratic objectives and conic constraints whose arguments are affine. Nquad_objreturnchtt| |t|_t|_||_y)N)problem)superr __init__cone_canon_methodsquad_canon_methodsr)selfrr __class__s ]/home/cdr/jupyterlab/.venv/lib/python3.12/site-packages/cvxpy/reductions/dcp2cone/dcp2cone.pyrzDcp2Cone.__init__%s- .w.?"4"4  c^t|jtk(xr|jS)zBA problem is accepted if it is a minimization and is DCP. )type objectiveris_dcp)rrs racceptszDcp2Cone.accepts+s&G%%&(2Gw~~7GGrc|j|s tdt|}|j|jd\}}|j D]Q}|j|d\}}|||gzz }|j j|j|jiStjj||}||fS)z0Converts a DCP problem to a conic form. z%Cannot reduce problem to cone programTF) r ValueErrorr canonicalize_treer constraints cons_id_mapupdateidrrProblem) rr inverse_datacanon_objectivecanon_constraints constraint canon_constr aux_constr new_problems rapplyzDcp2Cone.apply0s||G$DE E"7+ -1-C-C   t.%**"-- NJ (,'='=E(# $L* |n!< <   $ $ + +Z]]LOO,L M N&&../@B L((r affine_abovec t|tjk(rv|j|jdj j d\}}|jdjD] }|j|d\}}||g|zz }"||fSt||jv}g} g}|jD]&} |j| |xr|\} } | | gz } || z }(|j|| |\}} || z }||fS)a@Recursively canonicalize an Expression. Parameters ---------- expr : The expression tree to canonicalize. affine_above : The path up to the root node is all affine atoms. Returns ------- A tuple of the canonicalized expression and generated constraints. rF) rrpartial_problemr"argsrexprr#rcanonicalize_expr) rr4r0 canon_exprconstrsconstrr,r- affine_atom canon_argsarg canon_argcs rr"zDcp2Cone.canonicalize_treeIs* :113 3"&"8"8iil$$))5#2 J))A,22 7+/+A+A&%+P( jL>J66 77""t*D,C,CCKJGyy #55c;;W<X 1yk) 1  !224\RMJ qLG7""rct|tr$|jr|js|gfS|jr|rt ||j vrt |tjk(r/|js|jt |||St |tk(r/|js|jt |||S|j t |||St ||jvr|jt |||S|j|gfS)aCanonicalize an expression, w.r.t. canonicalized arguments. Parameters ---------- expr : The expression tree to canonicalize. args : The canonicalized arguments of expr. affine_above : The path up to the root node is all affine atoms. Returns ------- A tuple of the canonicalized expression and generated constraints. ) isinstancer is_constant parametersrrrrpower_quadratic_powerrr is_quadraticcopy)rr4r3r0s rr5zDcp2Cone.canonicalize_exprhs dJ '  "4??+<8O ==\d4jD#$#5UYIYCZ#rrN)rItypingrcvxpyrcvxpy.atoms.quad_over_linrcvxpy.expressionsrcvxpy.expressions.expressionrcvxpy.problems.objectiver!cvxpy.reductions.canonicalizationr (cvxpy.reductions.dcp2cone.canonicalizersr rcvxpy.reductions.inverse_datar ,cvxpy.reductions.qp2quad_form.canonicalizersr rrrrrXs9 3&3->X5ah#h#r